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TECHNICAL PAPERS

On the Internal Resonance of a Spinning Disk Under Space-Fixed Pulsating Edge Loads

[+] Author and Article Information
Jen-San Chen

Department of Mechanical Engineering, National Taiwan University, Taipei, Taiwan 10617

J. Appl. Mech 68(6), 854-859 (May 31, 2001) (6 pages) doi:10.1115/1.1408616 History: Received May 15, 2000; Revised May 31, 2001
Copyright © 2001 by ASME
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References

Figures

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Natural frequency loci of a freely spinning disk
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Amplitudes and phases of the steady-state response. ε=0.01,Ω=3.3,ω03=9.9,ω03̄=29.7,γ=2ω03+ες1,μ=100,α=0.4, and cf=0.5.
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Eigenvalues of the Jacobian matrix along the trivial solution path of Fig. 2
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(a) Quasi-periodic response and (b) the corresponding Poincare map for ς1=−0.32 with initial conditions c03=0.1 and ċ03=0
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(a) Periodic response and (b) the corresponding Poincare map for ς1=−0.32 with initial conditions c03=20 and ċ03=0
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Amplitudes and phases of the steady-state response. ε=0.01,Ω=3.3,ω03=9.9,ω03̄=29.7,γ=2ω03+ες1,μ=100,α=0.4, and cf=1.0.
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Pitchfork and Hopf bifurcation points along the trivial solution path as functions of damping cf
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Amplitude of the single-mode resonance. ε=0.01,Ω=3.3,ω03=9.9,ω03̄=29.7,γ=2ω03̄+ες1,μ=100,α=0.4, and cf=0.5.

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